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The Value of Bernoulli Polynomials at Rational Numbers
Bulletin of the London Mathematical Society, 1993For \(n\geq 1\), let \(B_ n(t)\) denote the \(n\)-th Bernoulli polynomial. \textit{G. Almkvist} and \textit{A. Meurman} [C. R. Math. Acad. Sci., Soc. R. Can. 13, No. 2/3, 104-108 (1991; Zbl 0731.11014)] proved that \(B_ n(h/k)- B_ n(0)\in (1/k^ n)\mathbb{Z}\) whenever \(h\) and \(k\) are positive integers. The author proves this in a shorter way.
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Identities for the Bernoulli and Euler numbers and polynomials.
Ars Comb., 2012Summary: In this paper, we investigate some interesting identities on the Euler numbers and polynomials arising from their generating functions and difference operators. Finally, we give some properties of Bernoulli and Euler polynomials by using \(p\)-adic integral on \(\mathbb Z_p\).
Taekyun Kim 0001 +3 more
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A Symmetry of Power Sum Polynomials and Bernoulli Numbers
The American Mathematical Monthly, 2001(2001). A Symmetry of Power Sum Polynomials and Bernoulli Numbers. The American Mathematical Monthly: Vol. 108, No. 3, pp. 258-261.
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Novel Identities of Bernoulli Polynomials Involving Closed Forms for Some Definite Integrals
Symmetry, 2022W M Abd-Elhameed +2 more
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INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022
Damla Gun, Yilmaz Simsek
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Damla Gun, Yilmaz Simsek
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Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 2023Dionisio Peralta +2 more
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Applications of the Sumudu transform to Bernoulli numbers and polynomials
, 2017Ahmed Bokhari, F. Belgacem
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Remarks on some relationships between the Bernoulli and Euler polynomials
Applied Mathematics Letters, 2004H M Srivastava, A Pintér
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